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Finding the Fourth Proportional to 55,178,496,005.60, 82,767,744,008.40 and 55,178,496,005.60

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Solution

The fourth proportional to 55,178,496,005.60, 82,767,744,008.40 and 55,178,496,005.60 is: 82,767,744,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178,496,005.60 : 82,767,744,008.40 = 55,178,496,005.60 : x
  2. Step 2: Convert to fraction form
    55,178,496,005.60/82,767,744,008.40 = 55,178,496,005.60/x
  3. Step 3: Cross multiply
    55,178,496,005.60x = 82,767,744,008.40 × 55,178,496,005.60
  4. Step 4: Simplify right side
    55,178,496,005.60x = 4,566,999,632,160,022,331,392
  5. Step 5: Solve for x
    x = 4,566,999,632,160,022,331,392/55,178,496,005.60
  6. Step 6: Final answer
    x = 82,767,744,008.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.